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Paper:

TR14-010 | 23rd January 2014 21:59

Affine extractors over large fields with exponential error

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TR14-010
Authors: Jean Bourgain, Zeev Dvir, Ethan Leeman
Publication: 24th January 2014 00:31
Downloads: 1169
Keywords: 


Abstract:

We describe a construction of explicit affine extractors over large finite fields with exponentially small error and linear output length. Our construction relies on a deep theorem of Deligne giving tight estimates for exponential sums over smooth varieties in high dimensions.



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